4124312202400 has 144 divisors (see below), whose sum is σ = 10848637689624. Its totient is φ = 1522027745280.

The previous prime is 4124312202313. The next prime is 4124312202433. The reversal of 4124312202400 is 42022134214.

It can be written as a sum of positive squares in 12 ways, for example, as 526628878864 + 3597683323536 = 725692^2 + 1896756^2 .

It is a super-2 number, since 2×4124312202400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20000622 + ... + 20205778.

Almost surely, 2^{4124312202400} is an apocalyptic number.

4124312202400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4124312202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424318844812).

4124312202400 is an abundant number, since it is smaller than the sum of its proper divisors (6724325487224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4124312202400 is a wasteful number, since it uses less digits than its factorization.

4124312202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207123 (or 207110 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 4124312202400 its reverse (42022134214), we get a palindrome (4166334336614).

The spelling of 4124312202400 in words is "four trillion, one hundred twenty-four billion, three hundred twelve million, two hundred two thousand, four hundred".